A Novel Reaching Law for Sliding Mode Control of Uncertain Discrete-Time Systems

Xu Qian; Du H. P.; He B.; Yan T. H.; Li W. H.; Sun S. S.

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A Novel Reaching Law for Sliding Mode Control of Uncertain Discrete-Time Systems

机译：不确定离散系统滑模控制的新趋近律

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This paper proposed a new sliding mode control algorithm for discrete-time systems with matched uncertainty. The new control algorithm is characterized by a new discrete switching surface. Although the exponential reaching law can reduce oscillation, the control effectiveness will be suppressed when the rate of change of disturbance is high. The exponential reaching law cannot force the system states to approach sliding surface s(k) = 0. In order to solve the contradiction between guaranteeing the basic property of quasi-sliding mode and reducing oscillation, a new discrete reaching law is proposed to improve the reaching process of discrete exponent reaching laws. The proposed method not only can force system state to approach the sliding surface s(k) = 0 in less width of the switching manifold than existing studies, but also can alleviate chattering when the system representative points arc near zero point. Simulation results are provided to validate the feasibility and reasonability of the method.

机译：针对具有不确定性的离散时间系统，提出了一种新的滑模控制算法。新的控制算法的特征在于新的离散开关表面。尽管指数到达定律可以减少振荡，但是当扰动变化率高时，控制效果将受到抑制。指数到达定律不能迫使系统状态逼近滑动面s（k）=0。为了解决保证准滑动模式的基本特性与减小振动之间的矛盾，提出了一种新的离散到达定律来改善系统的滑动面。离散指数到达律的到达过程。所提出的方法不仅可以使系统状态以比现有研究更小的开关歧管宽度逼近滑动表面s（k）= 0，而且还可以减轻系统代表点接近零点时的颤动。仿真结果验证了该方法的可行性和合理性。

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《Mathematical Problems in Engineering》 |2018年第10期|6158492.1-6158492.11|共11页
作者
Xu Qian; Du H. P.; He B.; Yan T. H.; Li W. H.; Sun S. S.;
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Ocean Univ China, Sch Informat Sci & Engn, Qingdao, Peoples R China;

China Jiliang Univ, Sch Mech & Elect Engn, Hangzhou, Zhejiang, Peoples R China;

Univ Wollongong, Fac Engn & Informat Syst, Wollongong, NSW, Australia;

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2. Sliding mode control for uncertain discrete-time systems based on fractional order reaching law [J] . Haifeng Ma, Chao Liu, Yang Liu, Control Theory & Applications, IET . 2019,第13期

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3. A Novel Reaching Law for Sliding Mode Control of Uncertain Discrete-Time Systems [J] . Qian Xu, H. P. Du, B. He, Mathematical Problems in Engineering: Theory, Methods and Applications . 2018,第a期

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4. Sliding mode control for uncertain discrete-time system using robust model predictive control in reaching mode [C] . Kwon Woo-Kyong, Jeong Seongcheol, Won Sangchul 2012 12th International Conference on Control, Automation and Systems. . 2012

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A Novel Reaching Law for Sliding Mode Control of Uncertain Discrete-Time Systems

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